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Solve the following problems. Show your complete solutions And box the final answers. Unboxed answers will be considered wrong. Good luck. 1. A particle is moving along a straight line such that its position from a fixed point is s = (12 - 15t? + 5t³) m, where t is in seconds. Determine the total distance traveled by the particle from t = 1 s to t = 3 s. Also, find the average speed of the particle during this time interval.

Solve the following problems. Show your complete solutions And box the final answers. Unboxed answers will be considered wrong. Good luck. 1. A particle is moving along a straight line such that its position from a fixed point is s = (12 - 15t? + 5t³) m, where t is in seconds. Determine the total distance traveled by the particle from t = 1 s to t = 3 s. Also, find the average speed of the particle during this time interval.

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Solve the following problems. Show your complete solutions And box the final answers. Unboxed answers will be considered wrong. Good luck. 1. A particle is moving along a straight line such that its position from a fixed point is s = (12 - 15t2 + 5t³) m, where t is in seconds. Determine the total distance traveled by the particle from t = 1 s to t = 3 s. Also, find the average speed of the particle during this time interval. 2. A man riding upward in a freight elevator accidentally drops a package off the elevator when it is 100 ft from the ground. If the elevator maintains a constant upward speed of 4 ft/s, determine how high the elevator is from the ground the instant the package hits the ground. Draw the v-t curve for the package during the time it is in motion. Assume that the package was released with the same upward speed as the elevator. 3. Two rockets start from rest at the same elevation. Rocket A accelerates vertically at 20 m/s? for 12 s and then maintains a constant speed. Rocket B accelerates at 15 m/s? until reaching a constant speed of 150 m/s. Construct the a-t, v-t, and s-t graphs for each rocket until t = 20 s. What is the distance between the rockets when t = 20 s? 4. Initially, the car travels along a straight road with a speed of 35 m/s. If the brakes are applied and the speed of the car is reduced to 10 m/s in 15 s, determine the constant deceleration of the car. 5. The acceleration of a particle as it moves along a straight line is given by a = (2t - 1) m/s?, where t is in seconds. If s = 1 m and v = 2 m/s when t = 0, determine the particle's velocity and position when t = 6 s. Also, determine the total distance the particle travels during this time period.
Transcribed Image Text:Solve the following problems. Show your complete solutions And box the final answers. Unboxed answers will be considered wrong. Good luck. 1. A particle is moving along a straight line such that its position from a fixed point is s = (12 - 15t2 + 5t³) m, where t is in seconds. Determine the total distance traveled by the particle from t = 1 s to t = 3 s. Also, find the average speed of the particle during this time interval. 2. A man riding upward in a freight elevator accidentally drops a package off the elevator when it is 100 ft from the ground. If the elevator maintains a constant upward speed of 4 ft/s, determine how high the elevator is from the ground the instant the package hits the ground. Draw the v-t curve for the package during the time it is in motion. Assume that the package was released with the same upward speed as the elevator. 3. Two rockets start from rest at the same elevation. Rocket A accelerates vertically at 20 m/s? for 12 s and then maintains a constant speed. Rocket B accelerates at 15 m/s? until reaching a constant speed of 150 m/s. Construct the a-t, v-t, and s-t graphs for each rocket until t = 20 s. What is the distance between the rockets when t = 20 s? 4. Initially, the car travels along a straight road with a speed of 35 m/s. If the brakes are applied and the speed of the car is reduced to 10 m/s in 15 s, determine the constant deceleration of the car. 5. The acceleration of a particle as it moves along a straight line is given by a = (2t - 1) m/s?, where t is in seconds. If s = 1 m and v = 2 m/s when t = 0, determine the particle's velocity and position when t = 6 s. Also, determine the total distance the particle travels during this time period.
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